if PA and PB are two tangents drawn from from an external point P to a circle with centre C with radius 4 cm . If PA is perpendicular to PB, then find length of the tangent .
Answer:
From figure,
CA is perpendicular to AP and CB is perpendicular to BP
Again AC = BC = 4 (radius of the circle)
Also AP = PB = (Tangents from point P)
So, BPAC is a square.
=> AP = PB = BC = CA = 4 cm
So, length of tangents are 4 cm each
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